Lean 4 Proof Engineer — Mathematical Formalization About The Role What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about formal logic and proof? We're looking for mathematicians and formal verification specialists to translate rigorous human-written proofs into machine-verifiable Lean 4 formalizations — working at the very frontier of what modern proof assistants can express and automate. This is a fully remote, flexible contract role built for mathematically mature problem-solvers who love precision, structural elegance, and the challenge of capturing complex arguments in forms that machines can verify.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility

Analyze proofs across domains — algebra, analysis, topology, logic, discrete math — identifying hidden assumptions, gaps, and formalizable sub-structures

Construct formalizations that test and extend the limits of existing proof assistants, especially where automation breaks down

Investigate failure points in automated provers and articulate why they occur — missing lemmas, complexity barriers, insufficient library coverage, and more

Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines

Develop proof scripts aligned with mathematical best practices and proof assistant idioms

Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models

Formalize classical results and compare machine-verifiable structures against standard textbook arguments





Surface deeper patterns and generalizations that become visible through the formalization process Who You Are Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field

Possess a strong foundation in rigorous proof writing and mathematical reasoning across core areas such as algebra, analysis, topology, logic, or discrete math

Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal proof systems — Lean 4 strongly preferred

Find genuine satisfaction in taking a dense, elegant mathematical argument and expressing it in a form a machine can verify

Appreciate precision and structural beauty, and bring both to every formalization you write

Can work independently, asynchronously, and to a high standard of quality Nice to Have Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Experience contributing to large-scale formalization projects such as Mathlib

Exposure to theorem provers in settings where automated reasoning frequently fails or requires substantial manual scaffolding

Prior experience with data annotation, data quality evaluation, or AI training workflows

Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies Why Join Us Work on genuinely frontier problems in formal verification and AI research

Collaborate with teams building and training cutting-edge AI models at leading research labs

Fully remote and versatile — work on your schedule, wherever you are in the world

Freelance autonomy with meaningful, intellectually stimulating task-based work

Exposure to how advanced LLMs are trained to reason about mathematics

Potential for contract extension as new projects launch

📌 Lean 4 Proof Engineer - Mathematical Formalization (Melbourne)
🏢 Alignerr
📍 Melbourne